On the stability of Voronoi cells

Let T be a given subset of ℝ n , whose elements are called sites, and let s∈T. The Voronoi cell of s with respect to T consists of all points closer to s than to any other site. In many real applications, the position of some elements of T is uncertain due to either random external causes or to measurement errors. In this paper we analyze the effect on the Voronoi cell of small changes in s or in a given non-empty set P⊂T\{s}. Two types of perturbations of P are considered, one of them not increasing the cardinality of T. More in detail, the paper provides conditions for the corresponding Voronoi cell mappings to be closed, lower and upper semicontinuous. All the involved conditions are expressed in terms of the data.

Voronoi cells via linear inequality systems

The theory and methods of linear algebra are a useful alternative to those of convex geometry in the framework of Voronoi cells and diagrams, which constitute basic tools of computational geometry. As shown by Voigt and Weis in 2010, the Voronoi cells of a given set of sites T, which provide a tesselation of the space called Voronoi diagram when T is finite, are solution sets of linear inequality systems indexed by T. This paper exploits systematically this fact in order to obtain geometrical information on Voronoi cells from sets associated with T (convex and conical hulls, tangent cones and the characteristic cones of their linear representations). The particular cases of T being a curve, a closed convex set and a discrete set are analyzed in detail. We also include conclusions on Voronoi diagrams of arbitrary sets.

Trends in socioeconomic inequalities in amenable mortality in urban areas of Spanish cities, 1996-2007

Background: While research continues into indicators such as preventable and amenable mortality in order to evaluate quality, access, and equity in the healthcare, it is also necessary to continue identifying the areas of greatest risk owing to these causes of death in urban areas of large cities, where a large part of the population is concentrated, in order to carry out specific actions and reduce inequalities in mortality. This study describes inequalities in amenable mortality in relation to socioeconomic status in small urban areas, and analyses their evolution over the course of the periods 1996–99, 2000–2003 and 2004–2007 in three major cities in the Spanish Mediterranean coast (Alicante, Castellón, and Valencia). Methods: All deaths attributed to amenable causes were analysed among non-institutionalised residents in the three cities studied over the course of the study periods. Census tracts for the cities were grouped into 3 socioeconomic status levels, from higher to lower levels of deprivation, using 5 indicators obtained from the 2001 Spanish Population Census. For each city, the relative risks of death were estimated between socioeconomic status levels using Poisson’s Regression models, adjusted for age and study period, and distinguishing between genders. Results: Amenable mortality contributes significantly to general mortality (around 10%, higher among men), having decreased over time in the three cities studied for men and women. In the three cities studied, with a high degree of consistency, it has been seen that the risks of mortality are greater in areas of higher deprivation, and that these excesses have not significantly modified over time. Conclusions: Although amenable mortality decreases over the time period studied, the socioeconomic inequalities observed are maintained in the three cities. Areas have been identified that display excesses in amenable mortality, potentially attributable to differences in the healthcare system, associated with areas of greater deprivation. Action must be taken in these areas of greater inequality in order to reduce the health inequalities detected. The causes behind socioeconomic inequalities in amenable mortality must be studied in depth.

Assessment of the Association of Health with the Liberalisation of Trade in Services under the World Trade Organisation

Background: The liberalisation of trade in services which began in 1995 under the General Agreement on Trade in Services (GATS) of the World Trade Organisation (WTO) has generated arguments for and against its potential health effects. Our goal was to explore the relationship between the liberalisation of services under the GATS and three health indicators – life expectancy (LE), under-5 mortality (U5M) and maternal mortality (MM) - since the WTO was established. Methods and Findings: This was a cross-sectional ecological study that explored the association in 2010 and 1995 between liberalisation and health (LE, U5M and MM), and between liberalisation and progress in health in the period 1995–2010, considering variables related to economic and social policies such as per capita income (GDP pc), public expenditure on health (PEH), and income inequality (Gini index). The units of observation and analysis were WTO member countries with data available for 2010 (n = 116), 1995 (n = 114) and 1995–2010 (n = 114). We conducted bivariate and multivariate linear regression analyses adjusted for GDP pc, Gini and PEH. Increased global liberalisation in services under the WTO was associated with better health in 2010 (U5M: 20.358 p,0.001; MM: 20.338 p = 0.001; LE: 0.247 p = 0.008) and in 1995, after adjusting for economic and social policy variables. For the period 1995–2010, progress in health was associated with income equality, PEH and per capita income. No association was found with global liberalisation in services. Conclusions: The favourable association in 2010 between health and liberalisation in services under the WTO seems to reflect a pre-WTO association observed in the 1995 data. However, this liberalisation did not appear as a factor associated with progress in health during 1995–2010. Income equality, health expenditure and per capita income were more powerful determinants of the health of populations.

Key points for abolishing Female Genital Mutilation from the perspective of the men involved

Introduction: female Genital Mutilation is internationally considered an affront on human rights and an act of violence against women and young girls. Furthermore, it hierarchises and perpetuates inequality and denies the right to bodily and psychosocial integrity of women and young girls. Aims: to detect the key points for the abolition of Female Genital Mutilation as well as the necessary resources for its eradication. Material and Method: a qualitative methodology with an ethnonursing perspective, via semi-structured interviews, held both individually and in groups, in 21 men familiar with Female Genital Mutilation. Findings: through the voices of men familiar with this tradition, five key points are presented for its gradual eradication: sensitisation and awareness building, team action, abolition-promoting media, focusing action on rural areas and applying educational means before punitive ones. Conclusion and practical implications: awareness-raising via the combined efforts of families, communities and governments, together with the promotion of health education programmes in demonstrating the complications derived from this practice, play a vital part in eradicating Female Genital Mutilation.

The future imagined: Exploring fiction as a means of reflecting on today’s Grand Societal Challenges and tomorrow’s options

European science policy (so-called Horizon 2020) is guided by Grand Societal Challenges (GSCs) with the explicit aim of shaping the future. In this paper we propose an innovative approach to the analysis and critique of Europe’s GSCs. The aim is to explore how speculative and creative fiction offer ways of embodying, telling, imagining, and symbolising ‘futures’, that can provide alternative frames and understandings to enrich the grand challenges of the 21st century, and the related rationale and agendas for ERA and H2020. We identify six ways in which filmic and literary representations can be considered creative foresight methods (i.e. through: creative input, detail, warning, reflection, critique, involvement) and can provide alternative perspectives on these central challenges, and warning signals for the science policy they inform. The inquiry involved the selection of 64 novels and movies engaging with notions of the future, produced over the last 150 years. Content analysis based on a standardised matrix of major themes and sub-domains, allows to build a hierarchy of themes and to identify major patterns of long-lasting concerns about humanity’s future. The study highlights how fiction sees oppression, inequality and a range of ethical issues linked to human and nature’s dignity as central to, and inseparable from innovation, technology and science. It concludes identifying warning signals in four major domains, arguing that these signals are compelling, and ought to be heard, not least because elements of such future have already escaped the imaginary world to make part of today’s experience. It identifies areas poorly defined or absent from Europe's science agenda, and argues for the need to increase research into human, social, political and cultural processes involved in techno-science endeavours.

Will income inequality cause a middle-income trap in Asia? Bruegel Working Paper 2013/06, 10 October 2013

The Asian economy is expected to realise favourable growth during the first half of this century, but there is no guarantee. There is a discussion about a ‘middle-income trap’, which refers to a country that has realised rapid growth to become a middle-income country but is unable to grow further. A middle-income trap could occur not only if there is a delay in shifting the economy toward a productivity-driven structure, but also if there is a worsening of income distribution.We consider this in line with the theories of development economics and through a quantitative analysis. The relationship between income inequality and the trap can be explained by the Kuznets hypothesis and the basic-needs approach. Our quantitative analysis supports the Kuznets hypothesis, and indicates that,although a low-income country can accelerate its economic growth with the worsening of income distribution as an engine, a middle income country would experience a decreasing growth rate if it fails to narrow the income gap between the top and bottom income groups. The results also show that the basic-needs approach is also applicable in practice, and imply that the improvement of access to secondary education is important. A sensitivity analysis for three Asian upper-middle-income countries(China, Malaysia and Thailand) also shows that the situation related to a middle-income trap is worse than average in China and Malaysia. These two countries, according to the result of the sensitivity analysis, should urgently improve access to secondary education and should implement income redistribution measures to develop high-tech industries, before their demographic dividends expire. Income redistribution includes the narrowing of rural urban income disparities, benefits to low-income individuals, direct income transfers, vouchers or free provision of education and health-care, and so on, but none of these are simple to implement.

Future of skills in Europe-Convergence or polarisation? CEPS Working Document No. 390, 27 February 2014

In this Working Paper, based on nearly 20 papers produced by the Centre for European Policy Studies, Slovak Governance Institute and the Conference Board Europe, we examine whether the current trends in the areas of education and skills are pushing the European Union, towards convergence or polarisation. We cover a wide range of questions related to this main issue. No easy answers, but several cross-cutting messages emerged from the research. We demonstrated that there is increasing complexity in what a ‘low-skilled’ person is and how well (or poorly) s/he fares in the labour market. There are undoubtedly powerful forces pushing for more polarisation, particularly in the labour market. Our research confirmed that early childhood education plays an important role, and it also appears to be increasingly uncontested as a policy prescription. However, the other frequently emphasised remedy to inequality – less selection in secondary education, particularly later division of children into separate tracks – is more problematic. Its effectiveness depends on the country in question and the target group, while education systems are extremely difficult to shift even on a long-term basis. A different, more-nuanced type of warning to policy-makers is delivered in our research on returns to higher education by field of study, which showed hidden rationality in how students choose their major.

The bear watches the dragon. The Russian debate on China. OSW Point of View Number 31, February 2013

Most participants in the Russian public debate seem to agree in their evaluation of the present condition of Russian-Chinese relations. There is awareness of increasing inequality between these two powers and Russia’s weakening position as compared to China.Those who share the optimistic view see co-operation with China as an opportunity for the Russian economy and a key element of Russia’s multi-directional foreign policy, an opportunity for Russia to avoid unilateral dependence on the West. The pessimists view the deepening co-operation with China through the prism of threats resulting from the increasing imbalance in bilateral relations. The greatest source of concern is the model of economic relations, which is often referred to as neo-colonial, where Russia’s role is reduced to that of a supplier of raw materials to China. The possible consequences are evaluated in different ways, ranging from the political subordination of Russian interests the Chinese ones to real loss of control over the Russian Far East. Those who share such views believe that Moscow should slow down its rapprochement with China and search for other partners in Eastern Asia, relations with whom could counterbalance the Chinese influence.

Family Types and the Persistence of Regional Disparities in Europe. Bruges European Economic Research (BEER) Papers 10/March 2007

This paper examines the association between one of the most basic institutional forms, the family, and a series of demographic, educational, social, and economic indicators across regions in Europe. Using Emmanuel Todd’s classification of medieval European family systems, we identify potential links between family types and regional disparities in household size, educational attainment, social capital, labour participation, sectoral structure, wealth, and inequality. The results indicate that medieval family structures seem to have influenced European regional disparities in virtually every indicator considered. That these links remain, despite the influence of the modern state and population migration, suggests that either such structures are extremely resilient or else they have in the past been internalised within other social and economic institutions as they developed.

The History and Challenges of Cohesion Policies. Jean Monnet/Robert Schuman Paper Series Vol. 14 No. 2, February 2014

From Introduction. Regional economic disequilibria was viewed as both an obstacle to and result of integration (European Commission 1965; European Commission 1962; European Commission 1969). Even within the Treaty of Rome, the Community tried to establish mechanisms to alleviate regional inequality. However, it was not until 1975 that the main mechanism of regional policy was established as a result of British and Irish enlargement: the European Regional Development Fund (ERDF). Since then, cohesion policy has become a significant EU expenditure accounting for €347bn, or 35.7% of the total EU budget for 2007-13(European Commission Regional Policy-Info Regio 2012). It has also become a key policy linked to enlargement. The underlying principle of cohesion policy assumes that the market alone cannot solve development problems and therefore government intervention is needed. This notion is in direct contrast to the underlying principle of EU competition policy, which asserts that the free market can solve economic development problems (Meadows, interview by author, 2003). The logic underlying cohesion policy is not only counter to EU competition policy, but also regulatory policies. Unlike other EU policies, cohesion policy is not a sectoral policy, but rather territorial in nature (Leonardi, 2006). Thus at times EU regulatory policy has also unintentionally worked counter to the goals of regional policy, sometimes disadvantaging poorer regions (Dudek, 2005). As the Community has sought to ameliorate regional disparities, it meant that all levels of government: local, regional, national and supranational would need to be involved, however, member states have different territorial governance and European regional development programs have to varying degrees impacted the relationship and policy responsibility of different levels of government (Leonardi, 2006; Bachtler and Michie 1993; Marks, 1993). The very nature of regional development policy has provoked a re-examination of subsidiarity, or which level of government is the lowest and most appropriate level. The discussion of policy formulation and implementation at the lowest level possible also addresses the issue of the democratic deficit. Some argue that the closer government is to the people the more responsive and representative it is. Democracy, however, also implies that public funds are used in a transparent way and for public rather than private good. Yet, as we examine the history and current situation of EU regional funds we find that corruption and misuse still abound. Thus, to understand the history of regional policy it is imperative to look at the major transformations of the policy, how regional policy has impacted subsidiarity and the quality of democracy, become an important instrument of enlargement and contradicted or conflicted with other EU policies.

Wage inequality in Germany – What role does global trade play? Policy Brief #2015/03

Wage inequality in Germany has increased significantly since the mid-1990s. The intensification of international trade relations is a frequently cited cause for this issue. However, an empirical study revealed that global trade can only directly explain around 15 percent of the increase in wage inequality in Germany. Primarily, the growing heterogeneity among companies in Germany plays a greater role – especially within industries. The decline in collective bargaining is the primary company-specific driver of wage inequality. Nevertheless, protectionist measures would not be effective for achieving greater wage equality.